Printable worksheet for practicing decimal place value, including writing numbers in expanded and standard form and finding missing values.

Sure! Let’s solve each part of the Decimal Place Value Worksheet step by step with clear explanations.

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## 1) Write each number in expanded form.

Expanded form means breaking down the number into the value of each digit based on its place (hundreds, tens, ones, tenths, hundredths, etc.).

a) 673.12

- 6 is in the hundreds place → 6 × 100 = 600
- 7 is in the tens place → 7 × 10 = 70
- 3 is in the ones place → 3 × 1 = 3
- 1 is in the tenths place → 1 × 0.1 = 0.1
- 2 is in the hundredths place → 2 × 0.01 = 0.02

✔ Answer: (6 × 100) + (7 × 10) + (3 × 1) + (1 × 0.1) + (2 × 0.01)

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b) 866.81

- 8 × 100 = 800
- 6 × 10 = 60
- 6 × 1 = 6
- 8 × 0.1 = 0.8
- 1 × 0.01 = 0.01

✔ Answer: (8 × 100) + (6 × 10) + (6 × 1) + (8 × 0.1) + (1 × 0.01)

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c) 244.37

- 2 × 100 = 200
- 4 × 10 = 40
- 4 × 1 = 4
- 3 × 0.1 = 0.3
- 7 × 0.01 = 0.07

✔ Answer: (2 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (7 × 0.01)

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d) 130.78

- 1 × 100 = 100
- 3 × 10 = 30
- 0 × 1 = 0
- 7 × 0.1 = 0.7
- 8 × 0.01 = 0.08

✔ Answer: (1 × 100) + (3 × 10) + (0 × 1) + (7 × 0.1) + (8 × 0.01)
*(Note: We include the zero to show the ones place is empty)*

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e) 145.69

- 1 × 100 = 100
- 4 × 10 = 40
- 5 × 1 = 5
- 6 × 0.1 = 0.6
- 9 × 0.01 = 0.09

✔ Answer: (1 × 100) + (4 × 10) + (5 × 1) + (6 × 0.1) + (9 × 0.01)

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f) 429.67

- 4 × 100 = 400
- 2 × 10 = 20
- 9 × 1 = 9
- 6 × 0.1 = 0.6
- 7 × 0.01 = 0.07

✔ Answer: (4 × 100) + (2 × 10) + (9 × 1) + (6 × 0.1) + (7 × 0.01)

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## 2) Write each number in standard form.

Standard form means combining all the expanded parts into one number.

a) (7 × 1000) + (2 × 100) + (5 × 10) + (3 × 1) + (9 × 0.1) + (7 × 0.01)

- 7 × 1000 = 7000
- 2 × 100 = 200
- 5 × 10 = 50
- 3 × 1 = 3
- 9 × 0.1 = 0.9
- 7 × 0.01 = 0.07

Add them:
7000 + 200 = 7200
7200 + 50 = 7250
7250 + 3 = 7253
7253 + 0.9 = 7253.9
7253.9 + 0.07 = 7253.97

✔ Answer: 7253.97

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b) (4 × 1000) + (0 × 100) + (0 × 10) + (1 × 1) + (3 × 0.1) + (9 × 0.01)

- 4 × 1000 = 4000
- 0 × 100 = 0
- 0 × 10 = 0
- 1 × 1 = 1
- 3 × 0.1 = 0.3
- 9 × 0.01 = 0.09

Add:
4000 + 0 + 0 + 1 = 4001
4001 + 0.3 = 4001.3
4001.3 + 0.09 = 4001.39

✔ Answer: 4001.39

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c) (5 × 100) + (1 × 10) + (3 × 1) + (2 × 0.1) + (0 × 0.01) + (1 × 0.001)

- 5 × 100 = 500
- 1 × 10 = 10
- 3 × 1 = 3
- 2 × 0.1 = 0.2
- 0 × 0.01 = 0
- 1 × 0.001 = 0.001

Add:
500 + 10 = 510
510 + 3 = 513
513 + 0.2 = 513.2
513.2 + 0 = 513.2
513.2 + 0.001 = 513.201

✔ Answer: 513.201

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d) (3 × 1000) + (9 × 100) + (7 × 10) + (8 × 1) + (7 × 0.1) + (7 × 0.01)

- 3 × 1000 = 3000
- 9 × 100 = 900
- 7 × 10 = 70
- 8 × 1 = 8
- 7 × 0.1 = 0.7
- 7 × 0.01 = 0.07

Add:
3000 + 900 = 3900
3900 + 70 = 3970
3970 + 8 = 3978
3978 + 0.7 = 3978.7
3978.7 + 0.07 = 3978.77

✔ Answer: 3978.77

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## 3) Find the missing numbers.

These are simple addition/subtraction problems using decimal place values.

a) 0.3 + 0.008 = ______

Align decimals:
```
0.300
+ 0.008
= 0.308
```

✔ Answer: 0.308

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b) 4 + 0.067 + ______ = 4.167

First, add 4 + 0.067 = 4.067
Then, subtract from total:
4.167 - 4.067 = 0.1

✔ Answer: 0.1

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c) ______ + 8 + 0.8 = 8.87

First, add 8 + 0.8 = 8.8
Then, subtract from total:
8.87 - 8.8 = 0.07

✔ Answer: 0.07

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d) ______ = 5 + 0.007

Just add: 5 + 0.007 = 5.007

✔ Answer: 5.007

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e) 9.327 = ______ + 9 + 0.007

First, add 9 + 0.007 = 9.007
Then, subtract from total:
9.327 - 9.007 = 0.32

✔ Answer: 0.32

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f) 8.392 = 8.002 + ______

Subtract:
8.392 - 8.002 = 0.39

✔ Answer: 0.39

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## ✔ Final Answers Summary:

1) Expanded Form:

a) (6 × 100) + (7 × 10) + (3 × 1) + (1 × 0.1) + (2 × 0.01)
b) (8 × 100) + (6 × 10) + (6 × 1) + (8 × 0.1) + (1 × 0.01)
c) (2 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (7 × 0.01)
d) (1 × 100) + (3 × 10) + (0 × 1) + (7 × 0.1) + (8 × 0.01)
e) (1 × 100) + (4 × 10) + (5 × 1) + (6 × 0.1) + (9 × 0.01)
f) (4 × 100) + (2 × 10) + (9 × 1) + (6 × 0.1) + (7 × 0.01)

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2) Standard Form:

a) 7253.97
b) 4001.39
c) 513.201
d) 3978.77

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3) Missing Numbers:

a) 0.308
b) 0.1
c) 0.07
d) 5.007
e) 0.32
f) 0.39

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